Løs y=left(x-3right)^3

$$y = { \left(x-3 \right) }^{ 3 }$$

Løs for y

$$y=\left(x-3\right)^{3}$$

Løsningstrinn

Bruk binomialformelen \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} til å utvide \left(x-3\right)^{3}.

$$y=x^{3}-9x^{2}+27x-27$$

Løs for x (complex solution)

$$x=\sqrt[3]{y}+3$$

$$x=e^{\frac{4\pi i}{3}}\sqrt[3]{y}+3$$

$$x=e^{\frac{2\pi i}{3}}\sqrt[3]{y}+3$$

Løs for x

$$x=\sqrt[3]{y}+3$$